An equivalent definition for multiplicities of a quaternionic eigenvalue
Differential Geometry
2022-12-21 v1
Abstract
In this paper we introduce two definitions for algebraic and geometric multiplicities of a quaternion right eigenvalue. This definitions are equivalent to the classical ones. However, differently from the usual definitions, the notions of root subspace and Jordan form of a quaternion matrix are not required and all the properties can be proved easily.
Keywords
Cite
@article{arxiv.2212.10195,
title = {An equivalent definition for multiplicities of a quaternionic eigenvalue},
author = {Stefano Spessato},
journal= {arXiv preprint arXiv:2212.10195},
year = {2022}
}